where \(\tilde{R}_{j\bar{k}} = g_{s\bar{k}}g^{p\bar{q}}R^s_{~j\bar{q}p}\)  is the second Chern-Ricci curvature of the metric.
The Type IIB flow reduces to the Kähler-Ricci flow on Kähler manifolds and one can think about it as a particular generalization of the Kähler-Ricci flow to non-Kähler manifolds
Other generalizations have been considered by Streets and Tian [1]} and Ustinovsky [2]}..
In particular, the Type IIB flow shares many properties with the Kähler-Ricci flow.
As described in Theorem REF , we can provide yet another formulation of the Type IIB flow in the spirit of Laplacian flows:
